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Finding the Fourth Proportional to 30,870.34, 46,312.80 and 10,876.84

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Solution

The fourth proportional to 30,870.34, 46,312.80 and 10,876.84 is: 16,317.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,870.34 : 46,312.80 = 10,876.84 : x
  2. Step 2: Convert to fraction form
    30,870.34/46,312.80 = 10,876.84/x
  3. Step 3: Cross multiply
    30,870.34x = 46,312.80 × 10,876.84
  4. Step 4: Simplify right side
    30,870.34x = 503,736,915.55
  5. Step 5: Solve for x
    x = 503,736,915.55/30,870.34
  6. Step 6: Final answer
    x = 16,317.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.